Hilary Swank and French Beau Laurent Fleury Heating Up

Jason Merritt/Getty Images(LOS ANGELES) — Hilary Swank debuted her new man last month, and it looks as if the two are getting more serious.

The 38-year-old actress stepped out with her uber-sexy French beau, real estate broker Laurent Fleury, last Saturday in Los Angeles. They were dressed casually and held hands on their way to a friend’s party.

The couple was spotted last month smiling and walking a dog in Venice Beach, Calif.

Fleury, a father of two, resides mostly in Paris, where he reportedly shares an apartment with Swank.

Swank split from John Campisi, her boyfriend of five years, last summer. The actress was previously married to Pretty Little Liars actor Chad Lowe for 10 years before they split in 2007.